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- The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin ring (tR) by integration.
- Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.Find moment of inertia of the cross-sectional area about the X-axis, Y-axis, and X'-axis, given: L1 = 60 mm, L2 = 20 mm, L3 = 60 mm, L4 = 90 mmDetermine the moment of inertia of a rectangle with h = 10 m and w = 7 m about the x-axis, 2 m below the base of the rectangular section.
- Determine the moment of inertia of the composite area about the y axis. Set a = 420 mm,b = 160 mm, h = 80 mm, r= 55 mmDetermine the moment of inertia about the x and y axis of the shaded area.A 0.2m hole is drilled into a 0.6m x 0.6m x 0 2m plate. The plate weighs 98 kN/m3. Determine the moment of Inertia about x, y, and z axis.
- Find the moment of inertia of the cross-sectional shape about the x' axis, given: L1 = 12 in, L2 = 15 in, L3 = 2 in, L4 = 10 inFind ȳ and the moment of inertia about the X-axis, Y-axis, and X'-axis of the cross-sectional area, given: L1 = 12 in, L2 = 1.6 in, L3 = 9 in, L4 = 1.1 in.Determine the moments of inertia for the shaded area with respect to the x and y axes.